Error Analysis in Numerical Solution of Fluid-Structure Interaction Problems

摘要

The scope of the work under the subject grant encompassed two interrelatedsubjects: deriving integral equation formulations for the fluid structure interaction problem and obtaining measures of the error incurred in the numerical solution of these equations. The ultimate goal is a reliable method of converting the mathematical model of how an elastic body reacts to excitation in a surrounding fluid into a form amenable to numerical solution and furthermore ascertaining useful bounds on the error inherent in the numerical approximation. Significant progress was achieved in pursuit of these goals.